Mathematical Modelling and Analysis of the Simplest Fuzzy Two-Input Two-Output Two-Term Controller of Takagi-Sugeno Type

被引：0

作者：

Raj, Ritu ^{[1
]}

Bosukonda, Murali Mohan ^{[2
]}

机构：

[1] Indian Inst Informat Technol Kota, Dept Elect & Commun Engn, MNIT Campus, Jaipur 302017, India

[2] Indian Inst Technol Kharagpur, Dept Elect Engn, Kharagpur 721302, West Bengal, India

来源：

FUZZY INFORMATION AND ENGINEERING | 2023年 / 15卷 / 01期

关键词：

fuzzy control; mathematical model; Takagi-Sugeno controller; TITO controller; variable gain controller; PI;

D O I：

10.26599/FIE.2023.9270004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Mathematical modelling of the simplest Takagi-Sugeno fuzzy Two-Input Two-Output (TITO) ProportionalIntegral/Proportional-Derivative (PI/PD) controller is presented in this paper. Mathematical model of fuzzy PI/PD controller is proposed using Algebraic Product (AP) t-norm, Bounded Sum (BS) t-co-norm and Center of Gravity (CoG) defuzzifier. The inputs are fuzzified by fuzzy sets having L and type membership functions. The rule base consists of five rules with different linear models in the consequent parts. Both static and dynamic couplings are taken into account while deriving the models. The model of the fuzzy PI/PD controller reveals that it is a variable gain/structure controller. Also, each output of the TITO fuzzy controller is the sum of two nonlinear PI or PD controllers with variable gains. The properties and the gain variations of the controllers are investigated.

引用

页码：36 / 54

页数：19

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